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Finding the Fourth Proportional to 1,121.42, 1,682.13 and 611.66

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Solution

The fourth proportional to 1,121.42, 1,682.13 and 611.66 is: 917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.42 : 1,682.13 = 611.66 : x
  2. Step 2: Convert to fraction form
    1,121.42/1,682.13 = 611.66/x
  3. Step 3: Cross multiply
    1,121.42x = 1,682.13 × 611.66
  4. Step 4: Simplify right side
    1,121.42x = 1,028,891.64
  5. Step 5: Solve for x
    x = 1,028,891.64/1,121.42
  6. Step 6: Final answer
    x = 917.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.